Let A be the set of all denumerably infinite matrices over a field K (that is, matrices
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Let A be the set of all denumerably infinite matrices over a field K (that is, matrices with rows and columns indexed by N*) which have only a finite number of nonzero entries.
(a) A is a simple K-algebra.
(b) A is an infinite dimensional algebraic K-algebra.
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a A is a simple Kalgebra because it has no proper t...View the full answer
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Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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